{"id":1306,"date":"2016-06-15T14:28:05","date_gmt":"2016-06-15T14:28:05","guid":{"rendered":"http:\/\/timss2015.org\/advanced\/?page_id=1306"},"modified":"2019-07-08T18:24:29","modified_gmt":"2019-07-08T18:24:29","slug":"lebanon-description-of-advanced-mathematics-programs-and-curriculum","status":"publish","type":"page","link":"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/lebanon-description-of-advanced-mathematics-programs-and-curriculum\/","title":{"rendered":"Lebanon: Description of Advanced Mathematics Programs and Curriculum"},"content":{"rendered":"<div class=\"carouselwrap\"><div id=\"menu-programs-and-curriculum-advanced-mathematics\" class=\"carouselmenu\"><a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/france-description-of-advanced-mathematics-programs-and-curriculum\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>France<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/italy-description-of-advanced-mathematics-programs-and-curriculum\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Italy<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/lebanon-description-of-advanced-mathematics-programs-and-curriculum\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Lebanon<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/norway-description-of-advanced-mathematics-programs-and-curriculum\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Norway<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/portugal-description-of-advanced-mathematics-programs-and-curricula\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Portugal<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/russian-federation-description-of-advanced-mathematics-programs-and-curricula\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Russian Federation<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/slovenia-description-of-advanced-mathematics-programs-and-curricula\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Slovenia<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/sweden-description-of-advanced-mathematics-programs-and-curriculum\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>Sweden<\/span><\/a><\/li>\n<a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/united-states-description-of-advanced-mathematics-programs-and-curriculum\/\" class=\"menu-link main-menu-link menu-item menu-item-type-post_type menu-item-object-page\"><span>United States<\/span><\/a><\/li>\n<\/div><\/div>\t<style>\n\t\t.carouselwrap{\n\t\t\tbackground: #e5eaef;\n\t\t}\t\t\n\t\t.owl-item a{\n\t\t\tbackground: #ffffff;\n\t\t\tborder: 4px #1FA67A solid;\n\t\t\tcolor: #000000;\n\t\t}\t\t\n\t\t.owl-item a:hover,\n\t\t.owl-item a:focus,\n\t\t.owl-item a.current-menu-item{\n\t\t\tbackground: #006544;\n\t\t\tborder: 4px #1FA67A solid;\n\t\t\t\n\t\t\tcolor: #ffffff;\n\t\t}\n\t<\/style>\n\t\n<div><a class=\"aboutTIMSS-download\" href=\"http:\/\/timss2015.org\/wp-content\/uploads\/filebase\/advanced\/advanced-mathematics\/M11.-programs-and-curriculum\/M11_1_adv-math-description-of-advanced-math-programs-and-curriculum.pdf\" target=\"_blank\">Download Description of the Advanced Mathematics Programs and Curriculum<\/a><\/div>\n<h2>Lebanon: Description of the Advanced Mathematics Programs and Curriculum<\/h2>\n<p>At Grade 12, students receive a solid mathematical foundation with the aim of preparing them to pursue their studies as teachers, engineers, and researchers. The mathematics competencies students must have in each domain are provided in the table below.<\/p>\n<table width=\"100%\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\" class=\"CurrTable\">\n<tbody>\n<tr>\n<th width=\"25%\">Domain<\/th>\n<th>Competencies<\/th>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Mathematical Reasoning<\/td>\n<td>\nRecognize the difference between a mathematical explanation and concrete or experimental evidence<\/p>\n<p>Make conjectures and discover means to test them<\/p>\n<p>Carry out proofs using various modes of reasoning<\/p>\n<p>Analyze and prove a statement of necessary and sufficient conditions<\/p>\n<p>Recognize a universal statement, a statement of existence, and a statement of uniqueness<\/p>\n<p>Evaluate a mathematical argument and criticize a proof<\/p>\n<p>Carry out an inductive proof       <\/p>\n<\/td>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Problem Solving<\/td>\n<td>\nFormulate a problem out of situations studied in mathematics, in other sciences, or encountered in real life<\/p>\n<p>Use various mathematical interpretations to represent the information given in a problem, figure out a convenient strategy to solve it, and take various approaches to make this strategy work using mathematical knowledge<\/p>\n<p>Discuss the validity of obtained solutions\n      <\/td>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Communication<\/td>\n<td>\nGive a summary of a mathematical document<\/p>\n<p>Take notes on a mathematical lecture<\/p>\n<p>Critique a mathematical presentation<\/p>\n<p>Write a proof correctly\n      <\/td>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Spatial<\/td>\n<td>\nProve and apply the properties of solid figures and conics<\/p>\n<p>Characterize plane or space figures using vector notation<\/p>\n<p>Study geometric problems analytically<\/p>\n<p>Determine the effect of transformations on plane figures\n      <\/td>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Numbers and Algebra<\/td>\n<td>\nAnalyze the extensions of the sets of numbers (natural numbers, integers, rational numbers, real numbers, complex numbers)<\/p>\n<p>Study the properties of complex numbers and their use in geometry and trigonometry<\/p>\n<p>Generalize fundamental mathematical notions (set, relation, binary operation, and propositional calculus)<\/p>\n<p>Acquire an example of structure<\/p>\n<p>Develop mathematical tools for numerical calculations, and for solutions of systems of equations and inequalities\n      <\/td>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Calculus<\/td>\n<td>\nAcquire the fundamental concepts of limit, continuity, and differentiability, and use them graphically <\/p>\n<p>Analyze the graphs of polynomial, rational, irrational, trigonometric, logarithmic, and exponential functions<\/p>\n<p>Integrate functions and solve simple differential equations\n      <\/td>\n<\/tr>\n<tr class=\"borderBottom\">\n<td class=\"headingInside\">Statistics and Probability<\/td>\n<td>\nOrganize information and represent it graphically<\/p>\n<p>Study the characteristics of a statistical distribution of one variable<\/p>\n<p>Solve simple probability problems, mainly in discrete cases where the events are equally likely\n      <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Download Description of the Advanced Mathematics Programs and Curriculum Lebanon: Description of the Advanced Mathematics Programs and Curriculum At Grade 12, students receive a solid mathematical foundation with the aim of preparing them to pursue their studies as teachers, engineers, &hellip; <a href=\"https:\/\/timss2015.org\/advanced\/timss-advanced-2015\/mathematics\/programs-and-curriculum\/lebanon-description-of-advanced-mathematics-programs-and-curriculum\/\">Continued<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"parent":1278,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1306","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/pages\/1306","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/comments?post=1306"}],"version-history":[{"count":14,"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/pages\/1306\/revisions"}],"predecessor-version":[{"id":3049,"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/pages\/1306\/revisions\/3049"}],"up":[{"embeddable":true,"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/pages\/1278"}],"wp:attachment":[{"href":"https:\/\/timss2015.org\/advanced\/wp-json\/wp\/v2\/media?parent=1306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}